For example, you made a claim about information in biological systems. I showed you a very simple way that it works. You ignored it, apparently, as "technical layers." If you can't even grasp how information works, how can you hope to discuss it?
I did make a claim about irreducible complexity,
More specifically, you made a claim about information. I showed you in detail how it originates in a population genome and you suddenly stopped mentioning it.
I asked for a clear, step-by-step explanation for how such systems could arise gradually, with each stage being both functional and advantageous.
And I showed you how one such irreducibly complex enzyme system was observed to evolve. I asked you specifically how the new enzyme system and regulator did not meet Behe's definition of irreducible complexity and you declined to answer. For reasons that seem obvious.
1. bacteria can't metabolize substrate
2. mutation converts enzyme so that it can (sort of) metabolize subtrate
3. more mutations improve efficiency of enzyme
4. mutation produces regulator so that the enzyme is not produced if the substrate is not present.
5. The newly-evolved system requires the enzyme, substrate, and regulator in order to function. It is now a single system composed of several well-matched, interacting parts that contribute to the basic function, wherein the removal of any one of the parts causes the system to effectively cease functioning.
Both you and I know that you have a naturalist slant when it comes to science.
Science is, after all, methodologically naturalistic. So is plumbing. A plumber who is also a believer would probably admit the possibility of clogged pipes being caused by demons of blockage, but would still take a naturalistic approach to dealing with the problem. Here, you seem to be confusing methodological naturalism with ontological naturalism.
(suggests that evolutionary theory says evolution is limitless)
Darwin himself showed that evolution was not limitless. Again, you'd be more effective arguing against biology if you understood it.
Then we’re in agreement that evolution has limits.
I even gave you an example. Most people who think they hate evolution, don't know what it is.
So, the real question is: where are those limits?
Extra set of limbs on a tetrapod, for example. Transitional stages for any evolved trait must be at least neutral in selective value.
And can step-by-step mutations, with each stage being functional and selected for, truly account for the origin of entirely new, interdependent biological systems like the circulatory system or flagellum?
Yep. Since I've already given you some reading on the evolution of prokaryote flagella, let's look at the circulatory system. What step in the evolution of a circulatory system from a simple coelomate to an advanced vertebrate, do you claim is impossible? Be specific. If you don't know how circulatory systems work in all cases,this might help you:
What steps in these systems do you think would be impossible to evolve, and what is your evidence for this? If you find this a bit technical, you might want to get a copy of Leonard Radinsky's
The Evolution of Vertebrate Design to get a more accessible description.
There's also a very good stepwise set of transitionals showing the evolution of tetrapod legs, as mentioned by Dr. Wise.
Quoting a single YEC scientist who finds one fossil series compelling doesn’t prove the case.
Turns out, he mentions many fossil series to be very good evidence. His acknowledgement of the fact is not the evidence. The evidence is the evidence. Would you like to see the known steps in the evolution of tetrapod legs?
Where is the actual step-by-step genetic pathway showing how random mutations built entirely new structures like limbs
They aren't "entirely new"; they evolved from fins in fish. As Dr. Wise points out, the transitional forms in the fossil record shows how this came about, but there is a great deal of genetics supporting that. And transitional forms still exist today, such as the limb-like fins of coelacanths and lungfish.
Nature 17 April 2013
The African coelacanth genome provides insights into tetrapod evolution
Current Biology Volume 31, Issue 22, 22 November 2021
Genetic basis for an evolutionary shift from ancestral preaxial to postaxial limb polarity in non-urodele vertebrates
To be honest, I’m getting bored of this conversation.
Unfortunate. You seem to have learned a great deal, and we got to debunk a lot of creationist stories herein.
I’ve asked for clear, direct evidence
And you've tried to hand-wave it all away when shown to you. We expect that. But others here will see it and perhaps take away some greater understanding of the way evolution works.
If this is the best evolution has to offer, it’s no wonder so many people remain unconvinced.
It's significant that acceptance of evolution and common descent is strongest among people who know most about biology. As you see, given the evidence, a majority of mainline Christians accept evolution.
en.wikipedia.org
You were taught a lot of false things about evolution and evolutionary theory. Why not do a little investigation and see for yourself?